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V. Nekrutkin

Kac particle systems with free motion and equations of Boltzmann type

Keywords: equations of Boltzmann type, Monte Carlo methods, Kac n-particle systems

The paper is devoted to the stochastic solution of non-homogeneous Boltzmann-like equations up to ­ fixed time t with the help of the free-motion Kac particle systems. Sufficient conditions for the propagation of chaos are represented mainly in terms of distributions of point processes which govern jumps in Kac n-particle systems.

Monte Carlo Methods and Applications, Walter de Gruyter

Print ISSN: 0929-9629
Volume: 9, 01/2003
Pages: 13 - 25

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